73. ssm A rotating door is made from four rectangular sections, as indicated in the drawing. The mass of each section is 85 kg. A person pushes on the outer edge of one section with a force of F = 68 N that is directed perpendicular to the section. Determine the magnitude of the door’s angular acceleration.

 

w0449

Problem 73

 

Solve for a

Since the force is perpendicular to the section the torque can be found from

 

Where L is the width of the section (1.2m shown in diagram).  Finally the moment of inertia for a rectangular area rotating on one end is

 

 

Since there are four of them

 

 

 

 

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This page last updated on January 11, 2020